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Finding the Fourth Proportional to 210,063.38, 314,974.10 and 91,678.10

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Solution

The fourth proportional to 210,063.38, 314,974.10 and 91,678.10 is: 137,464.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,063.38 : 314,974.10 = 91,678.10 : x
  2. Step 2: Convert to fraction form
    210,063.38/314,974.10 = 91,678.10/x
  3. Step 3: Cross multiply
    210,063.38x = 314,974.10 × 91,678.10
  4. Step 4: Simplify right side
    210,063.38x = 28,876,227,037.21
  5. Step 5: Solve for x
    x = 28,876,227,037.21/210,063.38
  6. Step 6: Final answer
    x = 137,464.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.